Question

For what value of k ,are the number x,2x+k, and 3x+6 three consecutive terms of an AP?

Answer 1

An A.P. has a common difference between consecutive terms.
Equations:
(2x+K)-x = (3x+6)-(2x+K)
----
x+K = x+(6-K)
K = 6-K
2K = 6
K = 3